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Triple Constructions of Decomposable MS-Algebras

Abd El-Mohsen BadawyDaniela GuffováMiroslav Haviar — 2012

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

A simple triple construction of principal MS-algebras is given which is parallel to the construction of principal p -algebras from principal triples presented by the third author in [Haviar, M.: Construction and affine completeness of principal p-algebras Tatra Mountains Math. 5 (1995), 217–228.]. It is shown that there exists a one-to-one correspondence between principal MS-algebras and principal MS-triples. Further, a triple construction of a class of decomposable MS-algebras that includes the...

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